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a(n) is the number of horizontal segments originating from some grid point on the n-th antidiagonal of the Even Conant lattice.
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%I #16 Sep 09 2020 11:04:34

%S 1,1,1,2,1,2,3,2,1,4,2,5,4,2,4,3,4,3,5,7,2,7,8,4,7,7,3,7,6,4,10,4,9,7,

%T 4,7,8,11,9,8,5,12,10,13,12,6,9,12,14,5,12,10,10,11,11,8,12,13,10,11,

%U 20,6,16,10,18,11,11,14,10,10,16,9,15,17,13,21

%N a(n) is the number of horizontal segments originating from some grid point on the n-th antidiagonal of the Even Conant lattice.

%C a(n) is the number of k in the range 0..n such that k = 0 or (A337264(n-k, k) = 1 and A337264(n-k, k-1) = 0).

%H Rémy Sigrist, <a href="/A337618/b337618.txt">Table of n, a(n) for n = 0..8191</a>

%H Rémy Sigrist, <a href="/A337618/a337618.png">Illustration of initial terms</a>

%H Rémy Sigrist, <a href="/A337618/a337618_1.png">Colored scatterplot of the first 2^15 terms</a> (where the color is function of the 2-adic valuation of n)

%H Rémy Sigrist, <a href="/A337618/a337618.txt">C++ program for A337618</a>

%e See Links section.

%o (C++) See Links section.

%Y Cf. A328078, A337264, A337619.

%K nonn

%O 0,4

%A _Rémy Sigrist_ and _N. J. A. Sloane_, Sep 08 2020